4 1/2 ÷(−1 3/7 ) please help and hurry
2 answers:
Hi! I'm happy to help!
To first solve this, we need to make those mixed numbers improper fractions.
To make 4 1/2 an improper fraction, you have to turn 4 into halves (multiply four by 2) then add the extra half, giving you 9/2.
÷(−1
)
Now, we turn 1 3/7 into an improper fraction. We turn 1 into sevenths (multiply 1 by 7) then add the other 3 sevenths, giving you 10/7.
÷(−
)
From here, we need to turn this problem into a multiplication problem in order to solve. Since multiplication is the opposite of division, we need to get the opposite of something, so we use our second fraction and flip it.
×(−
)
Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)
-
<u>Since we cannot simplify, our final answer is -63/20.</u>
I hope this was helpful, keep learning! :D
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Answer:
- x = 1
Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
- The adjacent to the angle ∠60° is 1/2.
- The opposite to the angle ∠60° is y.
The hypotenuse = x
<u>Determining the value of x:</u>
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x
∵ cos (60°) = 1/2
Dividing both sides by 2
Simplify
Thus, the value of hypotenuse x is:
x = 1
<u>Determining the value of y:</u>
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
∵
Therefore, the value of y is:
Summary:
- x = 1